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Finding the Fourth Proportional to 11,961.49, 16,510.53 and 7,712.56

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Solution

The fourth proportional to 11,961.49, 16,510.53 and 7,712.56 is: 10,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.49 : 16,510.53 = 7,712.56 : x
  2. Step 2: Convert to fraction form
    11,961.49/16,510.53 = 7,712.56/x
  3. Step 3: Cross multiply
    11,961.49x = 16,510.53 × 7,712.56
  4. Step 4: Simplify right side
    11,961.49x = 127,338,453.26
  5. Step 5: Solve for x
    x = 127,338,453.26/11,961.49
  6. Step 6: Final answer
    x = 10,645.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.